`BookProof.TempleSeparationNecessary.bddBelow_spectrum` (A : E2 →L[ℂ] E2) : BddBelow (spectrum ℝ A)

Proved

BookProof.TempleSeparationNecessary.bddBelow_spectrum

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterTempleSeparationNecessary.

BookProof.TempleSeparationNecessary.bddBelow_spectrum (A : E2 →L[ℂ] E2) : BddBelow (spectrum ℝ A)

Formalization note: Lean 4 identifier BookProof.TempleSeparationNecessary.bddBelow_spectrum.

Preamble

-- Generated from ChapterTempleSeparationNecessary.lean — theorem BookProof.TempleSeparationNecessary.bddBelow_spectrum
import Definitions.Def_ChapterRitzCertificate
import Mathlib
import Definitions.Def_ChapterTempleSeparationNecessary
import Definitions.Def_ChapterNavierStokesFarisLavineLift
open BookProof.NavierStokesFlow.FarisLavineLift
open BookProof.NavierStokesFlow.FarisLavineLift.ComparisonData
open BookProof.TempleSeparationNecessary


noncomputable section


open BookProof.RitzCertificate

Formal statement

theorem BookProof.TempleSeparationNecessary.bddBelow_spectrum (A : E2 →L[ℂ] E2) : BddBelow (spectrum ℝ A) := by sorry

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